GCD of 273, 825, 792 Calculator

Given Input numbers are 273, 825, 792

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 273, 825, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 825, 792 is 3.

Therefore, GCD of numbers 273, 825, 792 is 3

Given Input Data is 273, 825, 792

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(273, 825) = 75075

GCD(273, 825) = ( 273 x 825 ) / 75075

GCD(273, 825) = 225225 / 75075

GCD(273, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 792

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

GCD(3, 792) = 2376 / 792

GCD(3, 792) = 3

GCD of 273, 825, 792 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 503, 870
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• GCD of 435, 266, 742
• GCD of 254, 490, 212

1. What is the GCD of 273, 825, 792?

GCD of 273, 825, 792 is 3

2. Where do I get the detailed procedure to find GCD of 273, 825, 792?

You can find a detailed procedure to find GCD of 273, 825, 792 on our page.

3. How to find GCD of 273, 825, 792 on a calculator?

You can find the GCD of 273, 825, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.